Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below. 9,=8+ 2x, a. Interpret the meaning of the Y-intercept, bo. Choose the correct answer below. OA The Y-intercept, bo = 8, implies that when the value of X is 0, the mean value of Y is 8. O B. The Y-intercept, bo = 8, implies that the average value of Y is 8. OC. The Y-intercept, bo = 8, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units. OD. The Y-intercept, bo = 2, implies that when the value of X is 0, the mean value of Y is 2. b. Interpret the meaning of the slope, b . Choose the correct answer below. OA The slope, b, =2, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 2 units. O B. The slope, b, =2, implies that the average value of Y is 2. O. The slope, b, = 8, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units. D. The slope, b, =2, implies that for each increase of 1 unit in X, the value of Y is expected to decrease by 2 units. c. Determine the preredicted value of Y for X=3. The predicted value is ŷ;=O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below.
ŷ; = 8+ 2X,
a. Interpret the meaning of the Y-intercept, bo. Choose the correct answer below.
O A. The Y-intercept, bo = 8, implies that when the value of X is 0, the mean value of Y is 8.
O B. The Y-intercept, b, = 8, implies that the average value of Y is 8.
OC. The Y-intercept, bo = 8, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units.
O D. The Y-intercept, bo = 2, implies that when the value of X is 0, the mean value of Y is 2.
b. Interpret the meaning of the slope, b,. Choose the correct answer below.
O A. The slope, b, = 2, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 2 units.
O B. The slope, b, = 2, implies that the average value of Y is 2.
Oc. The slope, b, = 8, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units.
O D. The slope, b, = 2, implies that for each increase of 1 unit in X, the value of Y is expected to decrease by 2 units.
c. Determine the preredicted value of Y for X= 3.
The predicted value is Y =O
Transcribed Image Text:Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below. ŷ; = 8+ 2X, a. Interpret the meaning of the Y-intercept, bo. Choose the correct answer below. O A. The Y-intercept, bo = 8, implies that when the value of X is 0, the mean value of Y is 8. O B. The Y-intercept, b, = 8, implies that the average value of Y is 8. OC. The Y-intercept, bo = 8, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units. O D. The Y-intercept, bo = 2, implies that when the value of X is 0, the mean value of Y is 2. b. Interpret the meaning of the slope, b,. Choose the correct answer below. O A. The slope, b, = 2, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 2 units. O B. The slope, b, = 2, implies that the average value of Y is 2. Oc. The slope, b, = 8, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units. O D. The slope, b, = 2, implies that for each increase of 1 unit in X, the value of Y is expected to decrease by 2 units. c. Determine the preredicted value of Y for X= 3. The predicted value is Y =O
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